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Simplifying -5p + 4(8p + 2) = -30 + 8p Reorder the terms: -5p + 4(2 + 8p) = -30 + 8p -5p + (2 * 4 + 8p * 4) = -30 + 8p -5p + (8 + 32p) = -30 + 8p Reorder the terms: 8 + -5p + 32p = -30 + 8p Combine like terms: -5p + 32p = 27p 8 + 27p = -30 + 8p Solving 8 + 27p = -30 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 8 + 27p + -8p = -30 + 8p + -8p Combine like terms: 27p + -8p = 19p 8 + 19p = -30 + 8p + -8p Combine like terms: 8p + -8p = 0 8 + 19p = -30 + 0 8 + 19p = -30 Add '-8' to each side of the equation. 8 + -8 + 19p = -30 + -8 Combine like terms: 8 + -8 = 0 0 + 19p = -30 + -8 19p = -30 + -8 Combine like terms: -30 + -8 = -38 19p = -38 Divide each side by '19'. p = -2 Simplifying p = -2
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